Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56056u |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-844151340032 = -1 · 210 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1421,39102] |
[a1,a2,a3,a4,a6] |
Generators |
[15295:178752:125] |
Generators of the group modulo torsion |
j |
2634012/7007 |
j-invariant |
L |
6.5465251999991 |
L(r)(E,1)/r! |
Ω |
0.62416277284845 |
Real period |
R |
5.2442451590739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112112g1 8008e1 |
Quadratic twists by: -4 -7 |